A350155: a(n) is the greatest number of times that a laser can hit a reflector on an n X n grid.

Optimal solutions for n <= 6.
Reflectors are shown as '\' or '/', empty locations are '.', and the starting location of the laser is 'V'.
Found by Dmitry Kamenetsky and Daniel Mathias. 21st January 2022.

a(1) = 1
V
\


a(2) = 6
V
\\
\/


a(3) = 18
V
\\\
/\/
\./


a(4) = 49
V
\\\\
\\/.
\///
\\//


a(5) = 120
V
\\\.\
/\\\\
/./\\
\/\//
\\/./


a(6) = 233
V
\\\/\\
\\..\\
/\//\/
.//\\.
\\\\//
\.\/./